Yes - encouraging preprints is an important step towards making more of the research process open. The discussion about that is slowly reaching beyond arXiv-y fields, e.g. as more biologists are beginning to discover the concept (cf. http://asapbio.org/ ).

Encourage experimentation around open science at all levels within the institution - by individual researchers, educators, students as well as research teams and institutional subunits or across all of them - as well as between institutions.

A prime example for an entire institution experimenting with open science is the Montral Neurological Institute, which declared in early 2016 that

Starting this year, any work done there will conform to the principles of the “open- science” movement—all results and data will be made freely available at the time of publication, for example, and the institute will not pursue patents on any of its discoveries. Although some large-scale initiatives like the government-funded Human Genome Project have made all data completely open, MNI will be the first scientific institute to follow that path, Rouleau says.

depositing papers in the repository was henceforth the sole mechanism for submitting them to be considered when researchers underwent performance review.

While that policy and also the repository (more details here) are focused on providing free-to-read access to scholarly publications, institutions could expand that to repositories of other kinds, e.g. for data, software, specimens, teaching materials and other results of the work of their staff.

Every scientific institution should have the subdomains software.therinstitute.tld and data.therinstitute.tld

On those subdomains, the software or data generated by the institution should be made accessible with minimal barriers. If they are hosted in a recognized repository elsewhere, the respective persistent URLs should be given.

Even if you were not part of the original community that drafted a particular statement, signing on to those principles later on (or with some adaptations, e.g. for discipline-specific things) may make sense.